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Finding the Fourth Proportional to 546.53, 819.81 and 181.31

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Solution

The fourth proportional to 546.53, 819.81 and 181.31 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.53 : 819.81 = 181.31 : x
  2. Step 2: Convert to fraction form
    546.53/819.81 = 181.31/x
  3. Step 3: Cross multiply
    546.53x = 819.81 × 181.31
  4. Step 4: Simplify right side
    546.53x = 148,635.65
  5. Step 5: Solve for x
    x = 148,635.65/546.53
  6. Step 6: Final answer
    x = 271.96

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